And if a new player came into my game and said 'I want to be an archer', I might suggest ranger or rogue. But if they don't want to be a skill monkey or a woodsman, then they probably should be able to be a 'fighter who shoots a bow'.
The possibility for an Archer are pretty extensive.
I have a ranger with Dungeoneering (not Nature) and consider it he learned about monsters at his aunts knee she was a long time adventurer ... he is a wandering duelist hoping to prove he is up to her standards... with nice intimidate ability cause he likes the bully boy style. ... His class is ranger and he is a king of archers.. and this has been doable for a very long time (since the phb came out) its not something just added. The nature boy schtick is optional if the character doesnt feel like a fighter who shoots a bow.. I am really uncertain why. Reskin elf as a gifted human with incredible perception cause I dont like pointy ears that is all... and tell stories how he was never really trained with the bow he just seemed born knowing it.
Other classes with Archer build components.... Bard the true skill monkey with a dash of prophet see where the target will be not where it is., Seeker a true nature boy with nature boy archery magics on top... an Avenger who brings the word divine vengeance on the end of an arrow to a head... and a Warlord who uses a really heavy big bow using strength and snap shots to help guides his allies from the rear. Grab a touch of Inevitable shot from the seeker with a multiclass if you want to feel a touch like the best archer.
And some of these could very efficiently be taken in various hybrid combinations.,,, mostly attribute delimited.
And most of all... these are default flavors and extremely amenable to change... for instance that divine vengeance bit... some of my favorite Avengers skin there religion skill as Mysticism (and do learn about the religions of others) but are atheists whose goals are dominated by strong earthly causes... but who are possessed by the spirit of vengeance they try desparately to control it rather like an anti-berzerker. They fight with a focused style like somebody who duels instead of works at war... This is quite different than the default flavor of outcast monastic religious assassins.
My spell sword in plate armor recently built is a Paladin / Invoker --- with no Religion skill training no Healing skill or healing powers but does have some strong superstitious inclinations he carries around what he calls a soul stone he thinks of it as a good luck charm and has carved the symbol of Avandra in it and uses it to focus his magic(it is his holy symbol) some of his magics are skinned as raw luck(usually paladin ones)....but most of them he sees as "true magic".
The players handbook puts it right in the players hands to envision for themselves how there abilities work.
Just realized how I removed religion a lot in the above examples ;-) The best class for a historic feeling priest of Odin is in my opinion the Warlord a version where you are in the thick of it perhaps a mostly standard Bravura build but by taking the religion skill... or a simple multiclass for the rune priest ( student of divine runes) and he might need ritual caster feat to finish the priestly flavor... if you wanted a wilder version I could get a once a day berzerk effect with a quick barbarian multiclass and take a background that made sure you had the religion skill option. Warlords inspirarational gifts can easily be couched in terms of Odin quickening the hearts of the characters allies.